PSLE Lucy had an equal number of pink and grey beads. She gave 31 pink beads and 10 grey beads to Mary. She gave the remaining beads to Nora. Nora was given 5 pink beads for every 8 grey beads. How many beads did Lucy have at first?
|
Pink |
Grey |
Before |
5 u + 31 |
8 u + 10 |
Change |
- 31 |
- 10 |
After |
5 u |
8 u |
The number of pink and grey beads is equal at first.
5 u + 31 = 8 u + 10
8 u - 5 u = 31 - 10
3 u = 21
1 u = 21 ÷ 3 = 7
Number of pink beads that Lucy had at first
= 5 u + 31
= 5 x 7 + 31
= 35 + 31
= 66
Number of beads that Lucy had at first
= 2 x 66
= 132
Answer(s): 132